If Q₁ = 150 and Q₃ = 250, the upper fences (inner and outer) are: A)450 and 600. B)350 and 450. C)400 and 550. D)impossible to determine without more information.

Question

Quizplus · Accepted Answer

The upper fence is calculated as: Upper fence = Q3 + 1.5(IQR) Where Q3 is the third quartile and IQR is the interquartile range. Since both values Q₁ and Q₃ are involved in the calculation of the upper fence, we can conclude that they represent the first and third quartiles respectively. Therefore, Q3 = Q₃ = 250 By subtracting the values we get: IQR = Q₃ - Q₁ = 100 Substituting in the formula we get: Upper fence = 250 + 1.5(100) = 400 The outer fence can be calculated using the formula: Outer fence = Q3 + 3(IQR) Substituting the values we get: Outer fence = 250 + 3(100) = 550 Therefore, the upper fences (inner and outer) are 400 and 550 respectively. Hence, the best choice is C.

If Q1 = 150 and Q3 = 250, the Upper

If Q₁ = 150 and Q₃ = 250, the Upper